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# Find the integral $\int\frac{1}{2x^2y}dx$

## Step-by-step Solution

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sin
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tan
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asin
acos
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sinh
cosh
tanh
coth
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asinh
acosh
atanh
acoth
asech
acsch

###  Videos

$\frac{1}{-2yx}+C_0$
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##  Step-by-step Solution 

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1

Take the constant $\frac{1}{2}$ out of the integral

$\frac{1}{2}\int\frac{1}{x^2y}dx$

Learn how to solve integrals of rational functions problems step by step online.

$\frac{1}{2}\int\frac{1}{x^2y}dx$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(2x^2y))dx. Take the constant \frac{1}{2} out of the integral. Take the constant \frac{1}{y} out of the integral. Simplify the expression inside the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0.

$\frac{1}{-2yx}+C_0$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve integral of (1/2x^2)dx using partial fractionsSolve integral of (1/2x^2)dx using basic integralsSolve integral of (1/2x^2)dx using u-substitutionSolve integral of (1/2x^2)dx using integration by partsSolve integral of (1/2x^2)dx using trigonometric substitution

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).